Removing an object from specific lighting
Method 1: The most simple or common way would be to use multiple files instead of one. 1 file with the background, one with the logo. Render out each animation as image sequence. Then perhaps in a third file load the two image sequences and render out the combined result.

Method 2: If you're using Blender Internal Render, another way would be to limit lighting for your materials to a specific lamp group:


Method 3: You could put your special object and its special lighting to a different layer as everything else. Then set the render layer not to render the layer for the special object. Create a new render layer and set it to only render the layer for the special object. Enable Compositing, and use nodes for compositing. Add another render layer node. Set it to the render layer for your special object. Combine the two render layer color outputs with a color mix node. Make sure you're rendering with transparency and that the color mix node is set to use the transparency of the second input. (This method is basically method one, but all-in-one)